GCD of 150, 580, 492 Calculator

Given Input numbers are 150, 580, 492

In the factoring method, we have to find the divisors of all numbers

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (150, 580, 492) = 2.

Given numbers are 150, 580, 492

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 492 are 2 x 2 x 3 x 41

The highest common occurrence is 2¹

Therefore, GCD of 150, 580, 492 is 2.

Given numbers are 150, 580, 492

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(150, 580) = 8700

GCD(150, 580) = ( 150 x 580 ) / 8700

= 150 / 580

= 150

Step2:

LCM(10, 492) = 2460

GCD(10, 492) = ( 10 x 492 ) / 2460

= 10 / 492

= 10

So, Greatest Common Divisor of 150, 580, 492 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 368, 984
• GCD of 361, 838, 339
• GCD of 743, 565, 983
• GCD of 500, 730, 315
• GCD of 123, 254, 337

Given numbers are 150, 580, 492
The greatest common divisor of numbers 150, 580, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 580, 492 is 2.

1. What is the GCD of 150, 580, 492?

GCD of given numbers 150, 580, 492 is 2

2. How to calculate the greatest common divisor of 150, 580, 492?

We can find the highest common divisor of 150, 580, 492 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 150, 580, 492 i.e 2.

3. How can I use the GCD of 150, 580, 492Calculator?

Out the numbers 150, 580, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.